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Question

An angle is equal to one-third of its supplement. The measure of angle is.

A
124
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B
90
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C
45
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D
100
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Solution

The correct option is C 45
Let the measure of the required angle be x.

Then, supplement of x = 180x

It is given that,

Angle=13(Supplement of x)

x=13(180x)

3x=180x

4x=180

x=45

Thus, the measure of the given angle is 45.

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